Question

the refractive index of diamond is 2.42 and that of Glass is 1.5 how much faster does light travel in glass than in diamond​

Answer 1

$\Large\underline{\underline{\sf \blue{Given}:}}$

• Refractive Index in Diamond = 2.42

• Refractive Index in Glass = 1.5

$\Large\underline{\underline{\sf \blue{To\:Find}:}}$

• How much faster does light travel in Glass than in Diamond.

$\Large\underline{\underline{\sf \blue{Solution}:}}$

We know that :-

$\large{\boxed{\sf \mu=\frac{c}{v} }}$

Here ,

$\sf{\mu}$ = Refractive Index

c = velocity of light in air

v = velocity of light in Medium

_____________________________________

For Diamond :-

$\implies{\sf \mu_d=\dfrac{c}{v}\:\:→(eq\:1)}$

For Glass :-

$\implies{\sf \mu_g=\dfrac{c}{v'}\:\:(eq\:2)}$

Ratio of both Refractive Index :

$\implies{\sf \dfrac{\mu_d}{\mu_g}=\dfrac{v'}{v} }$

$\implies{\sf \dfrac{2.42}{1.5}=\dfrac{v'}{v} }$

$\implies{\sf v'=1.613v }$

$\Large\underline{\underline{\sf \blue{Answer}:}}$

•°• Light travels 1.613 times of Diamond medium faster in Glass medium.